• PRIMARY IDEALS IN QUASI-COMMUTATIVE TERNARY SEMIGEOUPS
Abstract
In this paper we study the structure of cancellative quasi-commutative primary ternary semigroups. In fact we prove that if T is a cancellative quasi-commutative ternary semigroup, then (1) S is a primary ternary semigroup (2) proper prime ideals in T are maximal and (3) semiprimary ideals in T are primary, are equivalent.
Keywords
Quasi-commutative, Primary Ideal, Semiprimary Ideal, Proper Prime Ideal.
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